10251077760 has 768 divisors, whose sum is σ = 45711993600. Its totient is φ = 2054062080.

The previous prime is 10251077747. The next prime is 10251077797. The reversal of 10251077760 is 6777015201.

10251077760 is a `hidden beast` number, since 1 + 0 + 2 + 510 + 77 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12861682 + ... + 12862478.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 2^10251077760 is an apocalyptic number.

10251077760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10251077760 is an abundant number, since it is smaller than the sum of its proper divisors (35460915840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10251077760 is a wasteful number, since it uses less digits than its factorization.

10251077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 10251077760 in words is "ten billion, two hundred fifty-one million, seventy-seven thousand, seven hundred sixty".